PLASMA-FIELD COUPLING AT SMALL LENGTH SCALES IN SOLAR WIND NEAR 1 au

In this paper, the vibrational behavior of the multiwalled carbon nanotubes (MWCNTs) embedded in elastic media is investigated by a nonlocal shell model. The nonlocal shell model is formulated by considering the small length scales effects, the interaction of van der Waals forces between two adjacent tubes and the reaction from the surrounding media, and a set of governing equations of motion for the MWCNTs are accordingly derived. In contrast to the beam models in the literature, which would only predict the resonant frequencies of bending vibrational modes by taking the MWCNT as a whole beam, the current shell model can find the resonant frequencies of three modes being classified as radial, axial, and circumferential for each nanotube of a MWCNT. Big influences from the small length scales and the van der Waals’ forces are observed. Among these, noteworthy is the reduction in the radial frequencies due to the van der Waals’ force interaction between two adjacent nanotubes. The numerical results also show that when the spring constant k0 of the surrounding elastic medium reaches a certain value, the lowest resonant frequency of the double walled carbon nanotube drops dramatically.

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Dispersive magnetized waves in the solar wind plasma

Journal of Plasma Physics ◽

10.1017/s0022377810000292 ◽

2010 ◽

Vol 77 (3) ◽

pp. 357-365 ◽

Cited By ~ 1

Author(s):

B. DASGUPTA ◽

DASTGEER SHAIKH ◽

P. K. SHUKLA

Keyword(s):

Solar Wind ◽

Dispersion Relation ◽

Fluid Model ◽

Phase Speed ◽

Solar Wind Plasma ◽

Small Scale ◽

Linear Dispersion ◽

Length Scales ◽

Linear Dispersion Relation ◽

Two Fluid Model

AbstractWe derive a generalized linear dispersion relation of waves in a strongly magnetized, compressible, homogeneous and isotropic quasi-neutral plasma. Starting from a two-fluid model, describing distinguishable electron and ion fluids, we obtain a six-order linear dispersion relation of magnetized waves that contains effects due to electron and ion inertia, finite plasma beta and angular dependence of phase speed. We investigate propagation characteristics of these magnetized waves in a regime where scale lengths are comparable with electron and ion inertial length scales. This regime corresponds essentially to the solar wind plasma, where length scales, comparable with ion cyclotron frequency, lead to dispersive effects. These scales in conjunction with linear waves present a great deal of challenges in understanding the high-frequency, small-scale dynamics of turbulent fluctuations in the solar wind plasma.

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Creep deformation behavior of Sn–3.5Ag solder/Cu couple at small length scales

Acta Materialia ◽

10.1016/j.actamat.2004.06.010 ◽

2004 ◽

Vol 52 (15) ◽

pp. 4527-4535 ◽

Cited By ~ 168

Author(s):

M Kerr ◽

N Chawla

Keyword(s):

Creep Deformation ◽

Deformation Behavior ◽

Small Length ◽

Length Scales

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Tractions, Balances, and Boundary Conditions for Nonsimple Materials with Application to Liquid Flow at Small-Length Scales

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-006-0015-7 ◽

2006 ◽

Vol 182 (3) ◽

pp. 513-554 ◽

Cited By ~ 89

Author(s):

Eliot Fried ◽

Morton E. Gurtin

Keyword(s):

Boundary Conditions ◽

Liquid Flow ◽

Small Length ◽

Length Scales ◽

Nonsimple Materials

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Comet-solar wind interaction: Dynamical length scales and models

Geophysical Research Letters ◽

10.1029/gl013i003p00239 ◽

1986 ◽

Vol 13 (3) ◽

pp. 239-242 ◽

Cited By ~ 59

Author(s):

D. A. Mendis ◽

E. J. Smith ◽

B. T. Tsurutani ◽

J. A. Slavin ◽

D. E. Jones ◽

...

Keyword(s):

Solar Wind ◽

Solar Wind Interaction ◽

Length Scales

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Flow Dynamics Characteristics in Micro and Nano Length Scale Devices With the Lattice-Boltzmann Method: The Air Bearing Problem

Volume 13: Nano-Manufacturing Technology; and Micro and Nano Systems, Parts A and B ◽

10.1115/imece2008-66624 ◽

2008 ◽

Author(s):

Alvaro J. Ramirez ◽

Amador M. Guzman ◽

Rodrigo A. Escobar

Keyword(s):

Poiseuille Flow ◽

Lattice Boltzmann ◽

Numerical Results ◽

Flow Dynamics ◽

Length Scale ◽

Air Bearing ◽

Small Length ◽

Length Scales ◽

Boltzmann Method ◽

Acceptable Agreement

The Lattice-Boltzmann Method (LBM) has been used for investigating flow behavior and characteristics in mini, micro and nano channels with the objective of describing the transition among different length scales. In particular, we have used the LBM to describe the air bearing lubrication problem at very small scales. For doing this, first we simulate and characterize the Poiseuille flow through different length scale and compare the LBM numerical results to existing experimental and numerical results. We put special attention on the application of the slip boundary condition on the channel wall for very small length scales. Our numerical results for the Poiseuille flow show an acceptable agreement with the Fukui & Kaneko numerical solution for continuous and slip-velocity regimes. For both, the rarified flow regime and the free molecular flow regime our solutions do not show an acceptable agreement with the Fukui & Kaneko Model. Then, we focus on the Couette flow characterization at very small length scales. The pressure distribution on both walls for different Knudsen numbers is obtained and compared to existing numerical results. Last, we concentrate in the air bearing problem. We have looked at the best simulation parameters for successfully describing this device flow dynamics, and particularly, for determining the pressure distribution and the net force with a good accuracy.

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